Use the rules of exponents to simplify the expression. Use positive exponents to write the answer.
A.
B.
C.
D.
Answer: B
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Write an equation for a function whose graph fits the given description.The graph of f(x) = is reflected across the y-axis and vertically shrunk by a factor of
. This graph is then reflected across the x-axis. Finally, the graph is shifted 4 units upward.
A. y =
B. y = - + 4
C. y = + 4
D. y = - + 4
Answer the question about the given function.Given the function f(x) = , is the point (-1, -
) on the graph of f?
A. Yes B. No
Solve. Provide answers in interval notation.(x - 8)(x + 9) > 0
A. (-9, ?) B. (-?, -9) ? (8, ?) C. (-9, 8) D. (-?, -8) ? (9, ?)
Solve the problem.Racing cyclists use the algebraic expression to determine the maximum speed, in miles per hour, to turn a corner of radius x, in feet, without tipping over. Find the maximum speed at which a cyclist should travel around a corner of radius 38 feet without tipping over. Write the answer in simplified radical form.
A. 4 miles per hour
B. 24 + miles per hour
C. 24 miles per hour
D. miles per hour